 | Wooster Woodruff Beman, David Eugene Smith - Geometry, Modern - 1899 - 272 pages
...proportional between EF and EG. PROPOSITION XVII. 263. Theorem. Two triangles are similar if they have two angles of the one equal to two angles of the other, respectively. 0 A> A, Given the & A&d, A 2 B 2 d, with ZA 1 = ZA l , Zd = ZC 2 . To prove that A A... | |
 | Wooster Woodruff Beman, David Eugene Smith - Geometry - 1899 - 400 pages
...proportional between EF and EG. PROPOSITION XVII. 263. Theorem. Two triangles are similar if they have two angles of the one equal to two angles of the other, respectively. Given the A, with A, zcv To prove that A AiBiCi ^. A A ^B^C2 . = ZA 2 , Z (7, = Proof.... | |
 | Euclid, Henry Sinclair Hall, Frederick Haller Stevens - Euclid's Elements - 1900 - 330 pages
...angles. QED From this Proposition we draw the following important inferences. 1 . If two triangles have two angles of the one equal to two angles of the other, each to each, then the third angle of the one is equal to the third angle of the other. 2. In any right.angled... | |
 | Great Britain. Board of Education - Education - 1900 - 906 pages
...EUCLID. 1. Define a plane angle, a. rhombus, and similar segments of circles. 2. If two triangles have two angles of the one equal to two angles of the other each to each, and the sides opposite to one of the equal angles in each equal, then the triangles are... | |
 | Manitoba. Department of Education - Education - 1900 - 558 pages
...other. If AC, BD intersect then their sum is greater than the sum of AB and DC. 8. If two triangles have two angles of the one equal to two angles of the other each to each and one side of the one equal to one side of the other, the equal sides being adjacent... | |
 | Great Britain. Board of Education - Boys - 1900 - 566 pages
...EUCLID. 1. Define a plane angle, a rhombus, and similar segments of circles. 2. If two triangles have two angles of the one equal to two angles of the other each to each, and the sides opposite to one of the equal angles in each equal, then the triangles are... | |
 | Great Britain. Parliament. House of Commons - Great Britain - 1900 - 686 pages
...EUCLID. 1. Define a plane angle, a rhombus, and similar segments of circles. 2. If two triangles have two angles of the one equal to two angles of the other each to each, and the sides opposite to one of the equal angles in each equal, then the triangles are... | |
 | 1902 - 716 pages
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 | University of Sydney - 1902 - 640 pages
...specifically relating to straight lines, right angles and parallel straight lines. 2. If two triangles have two angles of the one equal to two angles of the other each to each, and one side equal to one side, &c. Complete this enunciation, and prove the proposition.... | |
 | Charles Godfrey, Arthur Warry Siddons - Geometry - 1903 - 384 pages
...angles. COR. 4. Every triangle has at least two of its angles acute. COR. 5. If two triangles have two angles of the one equal to two angles of the other, each to each, then the third angles are also equal. COR. 6. The sum of the angles of a quadrilateral... | |
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If two triangles have two angles of the one equal to two angles of the other, each to each, and one side equal to one side, viz. 
